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Magazine Chapter 1: Q. 5 (page 23)
If for every point (x, y) on the graph of an equation the point (-x, y) is also on the graph, then the graph is symmetric with respect to the ___________.
Short Answer
If for every point (x, y) on the graph of an equation the point (-x, y) is also on the graph, then the graph is symmetric with respect to the y-axis.
Step by step solution
Given information:
The given statement is
If for every point (x, y) on the graph of an equation the point (-x, y) is also on the graph, then the graph is symmetric with respect to the ___________.
Step 2:
A graph is said to be symmetric, if it remains unchanged when reflected over a line.
Example:
The above graph is symmetric with respect to y-axis. Graph remains unchanged when folded along y-axis.
Also, In the graph, the points has its reflection and has its reflection at . We can observe that the y-values remains unchanged and x-values changes its sign.
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